
06077421
a
2012f.00717
Carvalho, Alda
Pereira dos Santos, Carlos
A very useful Pythagorean tree.
Silva, Jorge Nuno (ed.), Proceedings of the recreational mathematics colloquium II, University of \'Evora, Portugal, April 2730, 2011. Lisboa: Associa\c c\~ao Ludus (ISBN 9789899734623/pbk). 315 (2012).
2012
Lisboa: Associa\c c\~ao Ludus
EN
G60
F30
A30
Pythagorean triples
Pythagorean trees
Fibonacci boxes
mental calculations
Summary: In this work, we resume some results about a particular Pythagorean tree, described in some recent works [{\it F. Bernhart} and {\it H. Lee Price}, ``Heron's formula, Descartes circles, and Pythagorean triangles'', \url{arXiv.:math.MG/0701624} (2007); {\it H. Lee Price}, `` The Pythagorean tree: a new species'', \url{arXiv.org:0809.4324} (2008)]. We illustrate how H. Lee Price used his work as a tool to perform quick mental calculations. This Pythagorean tree, based in Fibonacci boxes, is also strongly related to the most famous mathematical artifacts: the Plimpton 322 and the Rhind Papyrus.